New Exact Solutions of the New Hamiltonian Amplitude Equation and Fokas-Lenells Equation

Entropy

Seyma Tuluce Demiray¹  Hasan Bulut² 

[1] Department of Mathematics, Firat University, Elazig 23119, Turkey; E-Mail

关键词: new Hamiltonian amplitude equation;    Fokas-Lenells equation;    extended trial equation method;    generalized Kudryashov method;    rational function solution;    travelling wave solution;    hyperbolic function solution;    dark soliton solution;   

DOI  :  10.3390/e17096025

来源: mdpi

【 摘 要 】

In this paper, exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation are successfully obtained. The extended trial equation method (ETEM) and generalized Kudryashov method (GKM) are applied to find several exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation. Primarily, we seek some exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation by using ETEM. Then, we research dark soliton solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation by using GKM. Lastly, according to the values of some parameters, we draw two and three dimensional graphics of imaginary and real values of certain solutions found by utilizing both methods.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.